Question

places a and b are 160 km apart on a highway. One car starts from a and another from b. If they travel int he same direction they meet in 8 hours but if they travel towards each other they travel towards each other they meet in 2 hours. Find the speed of each car​

Answer 1

Answer:

you the speed of atleast one car

Answer 2

Answer

Let the speed of the car A and B be x km/h and y km/h respectively.

Let x > y.

Case-1:

When they travel in the same direction

AC – BC = 160

⇒ x × 8 – y × 8 = 160

⇒ x – y = 20

Case-2:

When they travel in opposite direction

AC + BC = 160

⇒ x × 2 + y × 2 = 160

⇒ x + y = 80

Adding (i) and (ii), we get

2x = 100

⇒ x = 50 km/h

Putting x = 50 in (ii),

we have 50 + y = 80

⇒ y = 80 – 50

⇒ y= 30

Hence, the speeds of the cars are 50 km/h and 30 km/h.